The PlayStation Gold headset is probably the only wireless headset which is directly compatible with PS3, PS4, PS5, Android, PC, Switch (Personally tested) Get hold of them before they are super rare. :
HyperX Cloud Stinger Core Wireless Gaming Headset for PC, PS5, and PS4 White 4P5J1AA/HHSS1C-KB-WT/G - Best Buy
PlayStation 4/5 & PC White LVL50 Wireless Headset by PDP
LiNKFOR 2.4G Wireless Gaming Headset for PS4 PS5 PC with Detachable No – LiNKFOR Store
The best PS4 headsets for 2024 | GamesRadar+
Amazon.com: PlayStation Gold Wireless Headset - PlayStation 4 : Everything Else
Amazon.com: PDP Gaming LVL50 Wireless Stereo Headset With Noise Cancelling Microphone: Black - PS5/PS4 : Patio, Lawn & Garden
PlayStation Gold Wireless Headset Review (2018): Finally Golden | WIRED
Amazon.com: PlayStation Gold Wireless Headset White - PlayStation 4 : Everything Else
New For Sony PS4 Playstation 4 Wireless Gaming Headset With Mic US STOCK - Walmart.com
HyperX Cloud Flight – Wireless Gaming Headset For PS5 and PS4 | HyperX – HyperX ROW
Turtle Beach Stealth 600 Gen 2 Max Wireless Gaming Headset For Xbox Series X|s/xbox One/playstation 4/5/nintendo Switch/pc : Target
Genuine Sony Wireless Stereo Gaming Headset 2.0 PlayStation 4 PS4 PS3 PS Vita | eBay
Logitech G535 LIGHTSPEED Wireless Gaming Headset for PC, PS5, PS4 Black 981-000971 - Best Buy
PS4 Platinum Headset
PDP Gaming LVL50 Wireless Stereo Headset for PS4 White | PlayStation 4 | GameStop
Amazon.com: PlayStation Platinum Wireless Headset - PlayStation 4 : Everything Else
Logitech G733 LIGHTSPEED Wireless Gaming Headset for PS4, PC Black 981-000863 - Best Buy
PlayStation 4/5 & PC White LVL50 Wireless Headset by PDP
Amazon.com: Gtheos 2.4GHz Wireless Gaming Headset for PC, PS4, PS5, Mac, Nintendo Switch, Bluetooth 5.2 Gaming Headphones with Noise Canceling Microphone, Stereo Sound, ONLY 3.5mm Wired Mode for Xbox Series-White : Video
PS4 software update adds support for Sony's wireless 7.1 virtual surround headsets - CNET
ASTRO Gaming A20 Wireless Headset Gen 2 - Compatible With PlayStation 4 & 5 / PC / Mac - White/Blue - Walmart.com
Sony Wireless Gold Stereo Headset (PS4) - Tokyo Otaku Mode (TOM)
Amazon.com: PlayStation 4 Gold Wireless Headset [Black] : Video Games
PlayStation Gold - Wireless Stereo Headset for PS4 Unboxing - YouTube